GCF of 7340/729, 2242/566
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7340/729, 2242/566 i.e 2/412614 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7340/729, 2242/566.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 7340/729,2242/566?
Given fractions are 7340/729,2242/566
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 7340/729,2242/566, numerators are 7340,2242
Denominators are 729,566
The GCF of 7340,2242 is 2 .
LCM of 729,566 is 412614.
The greatest common factor of 7340/729,2242/566 = [GCF of 7340,2242]/[LCM of 729,566]= 2/412614
Therefore, the GCF of 7340/729,2242/566 is 2/412614.
To find the highest common factor of 7340,2242, we have to find the factors of both numbers and list the highest common factor.
The factors of 7340 are 1, 2, 4, 5, 10, 20, 367, 734, 1468, 1835, 3670, 7340
The factors of 2242 are 1, 2, 19, 38, 59, 118, 1121, 2242
The HCF of 7340,2242 is 2.
Lets's calculate GCF of 7340,2242
| 2 | 7340, 2242 |
| 3670, 1121 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7340,2242 By Matching Biggest Common Factor Method
Now, list down the factors of 7340
:1,2,4,5,10,20,367,734,1468,1835,3670,7340
Now, list down the factors of 2242
:1,2,19,38,59,118,1121,2242
Greatest Common Factor
We found the factors 7340,2242 . The biggest common factor number is the GCF number.
So the greatest common factor 7340,2242 is 2.
Lets's calculate LCM of 729,566
Given numbers has no common factors except 1. So, there LCM is their product i.e 412614
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/412614
Therefore, the GCF of Fractions 7340/729,2242/566 is 2/412614
Least Common Multiple of 729,566 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 729,566 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(729,566) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(729,566) x common factors =1 x 1 = 1
LCM(729,566) = ( 729 × 566 ) / 1
LCM(729,566) = 412614 / 1
LCM(729,566) = 412614
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FAQs on GCF of Fractions of 7340/729, 2242/566
1. What is the HCF of 7340,2242?
The HCF of 7340,2242 is 2
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 7340/729, 2242/566?
Answer: GCF of Numerators as per given numbers 7340/729, 2242/566 is
GCF of Numerators i.e. for 7340,2242 is 2
LCM of denominators i.e. for 729,566 is 412614.
Thus, GCF of Fractions is 2/412614.Finally, GCF of Fractions for 7340/729, 2242/566 is 2/412614.